{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# A study on spontaneous decay rate of an atom in presence of a square dielectric waveguide using BEM approach\n",
    "\n",
    "In these notes, I calculate the Local Density of States (LDOS), or the imaginary part of the on-site Green's function and hence the modified spontaneous emission rate of an atom in presence of a square dielectric waveguide using the Boundary Element Method (BEM). The BEM code is from Prof. Alejandro Manjavacas's group. \n",
    "\n",
    "This is an [IJulia notebook](https://github.com/JuliaLang/IJulia.jl), which provides a nice\n",
    "browser-based [Jupyter](http://jupyter.org/) interface to the [Julia language](http://julialang.org/), a high-level dynamic language (similar to Matlab or Python+SciPy) for technical computing.  The notebook allows us to combine code and results in one place.\n",
    "\n",
    "We are only manipulating the generated data from the simulation results in this notebook. As a brief recap of the simulation process, I have used a compiled BEM code by Alejandro's group written in C++ called `bem2D` on a cluster computing system. A configuration C++ code is defined in the file `scripts_ldos.cpp` which is in the same folder as `bem2D`. I compiled the script and put the generated executable into another folder called `p3`, for example, by\n",
    "```\n",
    "g++ scripts_ldos.cpp -lstdc++ -o ../p3/scripts_ldos\n",
    "```\n",
    "Then ran the executable and submitted the generated PBS script to the cluster system to run the simulation:\n",
    "```\n",
    "cd ../p3/\n",
    "./scripts_ldos\n",
    "qsub ldos_N_1_lam_894_eps_4_0_a_300_b_300_c_5_x_0_y_350_q_0_2_401.pbs\n",
    "```\n",
    "Notice that the name of the PBS script is automatically generated based on the configuration parameters for this simulation. The name will vary for different simulations. After running the script, I got a set of data files--one has the same name as the PBS script but with a `.dat` extension for the data table storing the calculated LDOS values; there are another two `*.dat` files for the geometry of boundary and dieletric function distribution. We will look into those data files in the following sections.\n",
    "\n",
    "\n",
    "## 3D dielectric waveguide simulated in 2D\n",
    "\n",
    "Just a little more detail on the simulation itself: By assuming the waveguide along z-axis or the light propagation direction is uniform, one can completely solve the boundary condition problem of dipole emission by simulating the field in one single layer of the xy cross section. The z-component of the field only adds in a phase factor. The data of the simulated result is stored in the /data/ folder of this repo. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can read in this data as a matrix of numbers by the `readdlm` function in Julia with the `header=false` option meaning that it reads the first line as the beginning of the data entries without a list of strings describing each column."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now, let's plot the results.  I'll use the [PyPlot](https://github.com/stevengj/PyPlot.jl) package in Julia, which is an interface to the sophisticated [matplotlib](http://matplotlib.org/) Python plotting library.   We'll plot three things:\n",
    "\n",
    "* The waveguide structure in terms of $\\epsilon$ and the interface boundary between two media.\n",
    "* Plot the LDOS components for a fixed dipole position.\n",
    "* Calculate the waveguide-modified spontaneous decay rate when the dipole varies its position outside of the waveguide.\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Plotting the boundary and index of refraction profile of the waveguide in the xy cross section\n",
    "\n",
    "Our boundary points are meshed in the file `/data/p3/geom_regions_a_300_b_300_c_5.data`, which positions where the equivalent charges and current sources to be computed in the BEM simulation. The waveguide has a square cross-section of a width $a=b=300nm$ ($nm$ is the unit of length) and a index of refraction of $n_1=n_{core}=2$ for the waveguide material and $n_2=n_{clad}=1$ for the vacuum clad. \n",
    "\n",
    "It is good to plot out the mesh of index of refraction in space and find out how good is the mesh resolution. This can be done by plotting out the output eps file in a simple data table format, which ends in `.dat`. \n",
    "\n",
    "The following will first print out some of the data in order to figure out the physics meaning of the dimensions. They should contain the coordinate and index of refraction information for the simulation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "10201×3 Array{Float64,2}:\n",
       " -180.0  -180.0  1.0\n",
       " -180.0  -176.4  1.0\n",
       " -180.0  -172.8  1.0\n",
       " -180.0  -169.2  1.0\n",
       " -180.0  -165.6  1.0\n",
       " -180.0  -162.0  1.0\n",
       " -180.0  -158.4  1.0\n",
       " -180.0  -154.8  1.0\n",
       " -180.0  -151.2  1.0\n",
       " -180.0  -147.6  1.0\n",
       " -180.0  -144.0  1.0\n",
       " -180.0  -140.4  1.0\n",
       " -180.0  -136.8  1.0\n",
       "    ⋮               \n",
       "  180.0   140.4  1.0\n",
       "  180.0   144.0  1.0\n",
       "  180.0   147.6  1.0\n",
       "  180.0   151.2  1.0\n",
       "  180.0   154.8  1.0\n",
       "  180.0   158.4  1.0\n",
       "  180.0   162.0  1.0\n",
       "  180.0   165.6  1.0\n",
       "  180.0   169.2  1.0\n",
       "  180.0   172.8  1.0\n",
       "  180.0   176.4  1.0\n",
       "  180.0   180.0  1.0"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "boundary = readdlm(\"data/geom_regions_a_300_b_300_c_5.dat\", header=false);\n",
    "boundarypoints = boundary[:,1:3]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "620×3 Array{Float64,2}:\n",
       "    0.966667   150.0    2.0\n",
       "    2.9        150.0    2.0\n",
       "    4.83333    150.0    2.0\n",
       "    6.76667    150.0    2.0\n",
       "    8.7        150.0    2.0\n",
       "   10.6333     150.0    2.0\n",
       "   12.5667     150.0    2.0\n",
       "   14.5        150.0    2.0\n",
       "   16.4333     150.0    2.0\n",
       "   18.3667     150.0    2.0\n",
       "   20.3        150.0    2.0\n",
       "   22.2333     150.0    2.0\n",
       "   24.1667     150.0    2.0\n",
       "    ⋮                      \n",
       " -150.0        142.1    2.0\n",
       " -150.0        144.033  2.0\n",
       " -149.938     -145.782  1.0\n",
       " -149.455     -147.27   1.0\n",
       " -148.536     -148.536  1.0\n",
       " -147.27      -149.455  1.0\n",
       " -145.782     -149.938  1.0\n",
       " -145.782      149.938  1.0\n",
       " -147.27       149.455  1.0\n",
       " -148.536      148.536  1.0\n",
       " -149.455      147.27   1.0\n",
       " -149.938      145.782  1.0"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "epsilon3D = readdlm(\"data/geom_a_300_b_300_c_5.dat\", header=false);\n",
    "epsilon2Dpoints = epsilon3D[:,[1,2,4]]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we plot out the data in a 2D (xy) plane. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "180.0"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x7f531ffa54d0>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "using PyPlot\n",
    "#println(convert(Int64,floor(lenz/2)))\n",
    "x = boundarypoints[:,1];\n",
    "y = boundarypoints[:,2];\n",
    "v_regions = boundarypoints[:,3];\n",
    "lenx = length(x)\n",
    "\n",
    "fig = figure(\"Boundary points plot\",figsize=(10,10))\n",
    "ax = fig[:add_subplot](1,2,1)\n",
    "c = get_cmap(\"PRGn\")\n",
    "rgbs = [c(norm(value/2.)) for value in v_regions]\n",
    "scatter(x,y,c=rgbs,linewidths=0,marker=\".\",s=5)\n",
    "\n",
    "xlabel(L\"x/nm\")\n",
    "ylabel(L\"y/nm\")\n",
    "axis(\"image\")\n",
    "xlim(-250,250)\n",
    "ylim(-250,250)\n",
    "tight_layout()\n",
    "title(\"meshing points (x,y)\")\n",
    "display(maximum(abs.(x)))\n",
    "\n",
    "subplot(1,2,2)\n",
    "x_eps = epsilon2Dpoints[:,1]; y_eps = epsilon2Dpoints[:,2]; v_eps = epsilon2Dpoints[:,3];\n",
    "ax = fig[:add_subplot](1,2,2)\n",
    "c = get_cmap(\"RdBu\")\n",
    "rgbs = [c(norm(value)) for value in v_eps]\n",
    "scatter(x_eps,y_eps,c=rgbs,s=1)\n",
    "\n",
    "xlabel(L\"x/ nm\")\n",
    "ylabel(L\"y/ nm\")\n",
    "axis(\"image\")\n",
    "xlim(-250,250)\n",
    "ylim(-250,250)\n",
    "tight_layout()\n",
    "title(\"boundary (x,y)\");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The first plot only shows the 101$\\times$101 data points, in which the plotted area is the computing region of a $180nm\\times 180nm$ square with the waveguide region colored in green. The figure on the right covers the boundary points pretty densely, although the plot didn't resolve the image on the corners clearly.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Plotting the LDOS components with a fixed dipole position"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To calculate the modified decay rates, we need to use the LDOS value at the dipole position. The result is calculated at a series of $k$ points. I expect to see a continuous positive curve when $k\\in [0,1]\\omega/c$ or in the radiative mode regime and a single positive spark in the $[1,2]\\omega/c$ or guided mode regime--given the waveguide is a single-mode waveguide."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "8.79907"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "8.79907"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x7f531ddd14d0>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ldos = readdlm(\"data/ldos_N_1_lam_894_eps_4_0_a_300_b_300_c_5_x_0_y_350_q_0_2_401.dat\", header=false);\n",
    "#ldos = readdlm(\"data/ldos_N_1_lam_894_eps_4_0.001_a_300_b_300_c_5_x_0_y_350_q_0.1_4_101.dat\", header=false);\n",
    "ldosqpoints = ldos[:,[2,5,6,7,8]]\n",
    "using PyPlot\n",
    "#println(convert(Int64,floor(lenz/2)))\n",
    "q = ldosqpoints[:,1]\n",
    "ldosx = ldosqpoints[:,2]\n",
    "ldosy = ldosqpoints[:,3]\n",
    "ldosz = ldosqpoints[:,4]\n",
    "ldos_av = ldosqpoints[:,5]\n",
    "lenx = length(q)\n",
    "\n",
    "fig = figure(\"LDOS q plot\",figsize=(10,10))\n",
    "ax = fig[:add_subplot](1,2,1)\n",
    "cp = ax[:plot](q, ldosx, \"b-\", linewidth=2.0)\n",
    "#ax[:clabel](cp, inline=1, fontsize=5)\n",
    "\n",
    "xlabel(L\"k/(\\omega/c)\")\n",
    "ylabel(L\"LDOS_x\")\n",
    "axis(\"image\")\n",
    "xlim(-0.0,2)\n",
    "ylim(-2,3)\n",
    "tight_layout()\n",
    "gcf() # Needed for IJulia to plot inline\n",
    "display(maximum(abs.(ldosx)))\n",
    "\n",
    "ax = fig[:add_subplot](1,2,2)\n",
    "cp = ax[:plot](q, ldos_av, \"r-\", linewidth=2.0)\n",
    "#ax[:clabel](cp, inline=1, fontsize=5)\n",
    "\n",
    "xlabel(L\"k/(\\omega/c)\")\n",
    "ylabel(L\"LDOS\")\n",
    "axis(\"image\")\n",
    "xlim(-0.0,2)\n",
    "ylim(-2,3)\n",
    "tight_layout()\n",
    "gcf() # Needed for IJulia to plot inline\n",
    "display(maximum(abs.(ldosx)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As you can see, ***there are negative sparks in the guided mode regime***. It could be a numerical error in the code and may be removed using some tricks."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we can integrate the $\\mathrm{LDOS}_i$ values over $k$ along the whole axis to obtain the total decay rate or from $0$ to $\\omega/c$ to obtain the radiative mode contribution for the decay rate. Each integral can be performed as a sum over all discrete points along the $k$-axis using the Trapezoid approximation as below:\n",
    "$$\\begin{align}\\int \\mathrm{LDOS}_i(k)dk &= \\sum_{j=1,\\cdots,N-1} \\frac{\\mathrm{LDOS}_i(k_j)+\\mathrm{LDOS}_i(k_j+1)}{2}\\Delta k\\\\\n",
    "&= \\left(\\frac{\\mathrm{LDOS}_i(k_N)+\\mathrm{LDOS}_i(k_N)}{2}+\\sum_{j=2,\\cdots,N-1}\\mathrm{LDOS}_i(k_j)\\right)\\Delta k,\\end{align}$$\n",
    "where $N$ is the total number of data points along the $k$-axis, and $\\Delta k=k_j-k_{j-1}=k_2-k_1$ as the interval of $k$-vector in a uniform distribution manner.\n",
    "\n",
    "In our case, the integrand is discontinuous and breaks the continuity at $k=k_0=\\omega/c$ point. Therefore, we divide our integration limit into the $[0,n_2)k_0$ and $(n_2,n_1]k_0$ two regions corresponding to radiation mode contribution and guided mode contribution parts, where $n_2=1$ is the index of refraction of the vacuum clad and $n_1=2$ is the index of refraction of the waveguide bulk material. Since there are surdden jumps in the guided mode regime, the integration may have some error using current method, but it shouldn't be too large as the jumps are in small intervals."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Delta k = 0.005000 k_0.\n"
     ]
    }
   ],
   "source": [
    "length_of_q=length(ldosqpoints[:,1])\n",
    "breakpoint = Int(floor((length_of_q-1)/2)) # The breaking point of index is chosen under the fact that the radiation contribution part takes a half space for $n_1=2$.\n",
    "using NumericalIntegration\n",
    "ldos_x_rad = integrate(ldosqpoints[1:breakpoint,1],ldosqpoints[1:breakpoint,2])\n",
    "ldos_x_guide = integrate(ldosqpoints[breakpoint:end,1],ldosqpoints[breakpoint:end,2])\n",
    "ldos_x = ldos_x_rad+ldos_x_guide;\n",
    "ldos_y_rad = integrate(ldosqpoints[1:breakpoint,1],ldosqpoints[1:breakpoint,3])\n",
    "ldos_y_guide = integrate(ldosqpoints[breakpoint:end,1],ldosqpoints[breakpoint:end,3])\n",
    "ldos_y = ldos_y_rad+ldos_y_guide;\n",
    "ldos_z_rad = integrate(ldosqpoints[1:breakpoint,1],ldosqpoints[1:breakpoint,4])\n",
    "ldos_z_guide = integrate(ldosqpoints[breakpoint:end,1],ldosqpoints[breakpoint:end,4])\n",
    "ldos_z = ldos_z_rad+ldos_z_guide;\n",
    "ldos_rad = integrate(ldosqpoints[1:breakpoint,1],ldosqpoints[1:breakpoint,5])\n",
    "ldos_guide = integrate(ldosqpoints[breakpoint:end,1],ldosqpoints[breakpoint:end,5])\n",
    "ldos_total = ldos_rad + ldos_guide;\n",
    "# Print out the result.\n",
    "@printf(\"\\Delta k = %4f k_0.\\n\",ldosqpoints[2,1]-ldosqpoints[1,1])\n",
    "@printf(\"LDOS_x_rad=%5f, LDOS_x_guide=%5f, LDOS_x=%5f;\\n\",ldos_x_rad,ldos_x_guide,ldos_x)\n",
    "@printf(\"LDOS_y_rad=%5f, LDOS_y_guide=%5f, LDOS_y=%5f;\\n\",ldos_y_rad,ldos_y_guide,ldos_y)\n",
    "@printf(\"LDOS_z_rad=%5f, LDOS_z_guide=%5f, LDOS_z=%5f;\\n\",ldos_z_rad,ldos_z_guide,ldos_z)\n",
    "@printf(\"LDOS_rad = %5f, LDOS_guide = %5f, LDOS = %5f.\",ldos_rad,ldos_guide,ldos_total)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Notice that the result above was calculated using a $k$-resolution of $\\Delta k= 0.005k_0$. We can compare the results above with a coarser gridding case with $\\Delta k= 0.01k_0$. The LDOS values can be then calculated as below."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\"Delta k = 0.01 k_0.\""
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "LDOS_x_rad=0.623963, LDOS_x_guide=-0.004968, LDOS_x=0.618995;\n",
      "LDOS_y_rad=0.657902, LDOS_y_guide=-0.002447, LDOS_y=0.655455;\n",
      "LDOS_z_rad=0.525345, LDOS_z_guide=0.012674, LDOS_z=0.538019;\n",
      "LDOS_rad = 1.807210, LDOS_guide = 0.005258, LDOS = 1.812468."
     ]
    }
   ],
   "source": [
    "ldos = readdlm(\"data/ldos_N_1_lam_894_eps_4_0_a_300_b_300_c_5_x_0_y_350_q_0_2_201.dat\", header=false);\n",
    "ldosqpoints = ldos[:,[2,5,6,7,8]]\n",
    "length_of_q=length(ldosqpoints[:,1])\n",
    "breakpoint = Int(floor((length_of_q-1)/2)) # The breaking point of index is chosen under the fact that the radiation contribution part takes a half space for $n_1=2$.\n",
    "using NumericalIntegration\n",
    "ldos_x_rad = integrate(ldosqpoints[1:breakpoint,1],ldosqpoints[1:breakpoint,2])\n",
    "ldos_x_guide = integrate(ldosqpoints[breakpoint:end,1],ldosqpoints[breakpoint:end,2])\n",
    "ldos_x = ldos_x_rad+ldos_x_guide;\n",
    "ldos_y_rad = integrate(ldosqpoints[1:breakpoint,1],ldosqpoints[1:breakpoint,3])\n",
    "ldos_y_guide = integrate(ldosqpoints[breakpoint:end,1],ldosqpoints[breakpoint:end,3])\n",
    "ldos_y = ldos_y_rad+ldos_y_guide;\n",
    "ldos_z_rad = integrate(ldosqpoints[1:breakpoint,1],ldosqpoints[1:breakpoint,4])\n",
    "ldos_z_guide = integrate(ldosqpoints[breakpoint:end,1],ldosqpoints[breakpoint:end,4])\n",
    "ldos_z = ldos_z_rad+ldos_z_guide;\n",
    "ldos_rad = integrate(ldosqpoints[1:breakpoint,1],ldosqpoints[1:breakpoint,5])\n",
    "ldos_guide = integrate(ldosqpoints[breakpoint:end,1],ldosqpoints[breakpoint:end,5])\n",
    "ldos_total = ldos_rad + ldos_guide;\n",
    "# Print out the result.\n",
    "display(\"\\Delta k = $(ldosqpoints[2,1]-ldosqpoints[1,1]) k_0.\")\n",
    "@printf(\"LDOS_x_rad=%5f, LDOS_x_guide=%5f, LDOS_x=%5f;\\n\",ldos_x_rad,ldos_x_guide,ldos_x)\n",
    "@printf(\"LDOS_y_rad=%5f, LDOS_y_guide=%5f, LDOS_y=%5f;\\n\",ldos_y_rad,ldos_y_guide,ldos_y)\n",
    "@printf(\"LDOS_z_rad=%5f, LDOS_z_guide=%5f, LDOS_z=%5f;\\n\",ldos_z_rad,ldos_z_guide,ldos_z)\n",
    "@printf(\"LDOS_rad = %5f, LDOS_guide = %5f, LDOS = %5f.\",ldos_rad,ldos_guide,ldos_total)\n",
    "#ldosqpoints[breakpoint,2]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can see that there are considerable differences between the integrated LDOS values for the two cases. The main differences are from the guided mode contribution part to LDOS, and should be related to the negative sparks. Therefore, I suspect that I still need to find a way to rule out the spark errors in order to calculate the LDOS values accurate. The resolution of the later case seems fine for the radiation contribution part, at least.\n",
    "\n",
    "I didn't plot the details of the LDOS components for this case, but there are also negative sparks in the guided mode regime. The sparks disappear in the case of $\\Delta k=0.05k_0$, but the integrals may not be accurate enough."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Another set of data is taken at $r=330nm$ position with a slightly different setting--mainly the edges are having a larger radius. We can plot the result below."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.44814"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "1.44814"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x7f531deccf10>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ldos = readdlm(\"data/ldos_N_1_lam_894_eps_4_0_a_300_b_300_c_6_x_330_y_0_q_0_2_201.dat\", header=false);\n",
    "#ldos = readdlm(\"data/ldos_N_1_lam_894_eps_4_0.001_a_300_b_300_c_5_x_0_y_350_q_0.1_4_101.dat\", header=false);\n",
    "ldosqpoints = ldos[:,[2,5,6,7,8]]\n",
    "using PyPlot\n",
    "#println(convert(Int64,floor(lenz/2)))\n",
    "q = ldosqpoints[:,1]\n",
    "ldosx = ldosqpoints[:,2]\n",
    "ldosy = ldosqpoints[:,3]\n",
    "ldosz = ldosqpoints[:,4]\n",
    "ldos_av = ldosqpoints[:,5]\n",
    "lenx = length(q)\n",
    "\n",
    "fig = figure(\"LDOS q plot\",figsize=(10,10))\n",
    "ax = fig[:add_subplot](1,2,1)\n",
    "cp = ax[:plot](q, ldosx, \"b-\", linewidth=2.0)\n",
    "#ax[:clabel](cp, inline=1, fontsize=5)\n",
    "\n",
    "xlabel(L\"k/(\\omega/c)\")\n",
    "ylabel(L\"LDOS_x\")\n",
    "axis(\"image\")\n",
    "xlim(-0.0,2)\n",
    "#ylim(-300,300)\n",
    "tight_layout()\n",
    "gcf() # Needed for IJulia to plot inline\n",
    "display(maximum(abs.(ldosx)))\n",
    "\n",
    "ax = fig[:add_subplot](1,2,2)\n",
    "cp = ax[:plot](q, ldos_av, \"r-\", linewidth=2.0)\n",
    "#ax[:clabel](cp, inline=1, fontsize=5)\n",
    "\n",
    "xlabel(L\"k/(\\omega/c)\")\n",
    "ylabel(L\"LDOS\")\n",
    "axis(\"image\")\n",
    "xlim(-0.0,2)\n",
    "#ylim(-300,300)\n",
    "tight_layout()\n",
    "gcf() # Needed for IJulia to plot inline\n",
    "display(maximum(abs.(ldosx)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## LDOS components as a function of dipole position\n",
    "\n",
    "We can also plot out the LDOS's when the dipole is placed at different locations along the x-axis. Here we are using some rough parameters just for demonstration purpose."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "As plotted below, the dipole is changing position from $225$nm to $420$nm from the origin (center of the waveguide) along the x-axis. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# Load the simulated data.\n",
    "ldos = readdlm(\"data/ldos_N_1_lam_894_eps_4_0_a_300_b_300_c_6_x0_225_x1_420_nx_14_y_0_q_0_2_201.dat\", header=false)\n",
    "ldosqpoints = ldos[:,[2,3,5,6,7,8]]\n",
    "lenr = 14; rstart=225; rend=420; \n",
    "lenq = 201; \n",
    "breakpoint = Int(floor((lenq-1)/2)) # The breaking point of index is chosen under the fact that the radiation contribution part takes a half space for $n_1=2$.\n",
    "rprime = linspace(rstart,rend,lenr);\n",
    "ldos_rscan = zeros(lenq,5,lenr);\n",
    "ldos_int = zeros(lenr,12);\n",
    "ii=1;\n",
    "using NumericalIntegration\n",
    "for ri in rprime\n",
    "    ind=find(ldosqpoints[:,2].==ri);\n",
    "    ldos_rscan[:,:,ii]=ldosqpoints[ind,[1,3,4,5,6]];\n",
    "    \n",
    "    ldos_x_rad = integrate(ldos_rscan[1:breakpoint,1,ii],ldos_rscan[1:breakpoint,2,ii])\n",
    "    ldos_x_guide = integrate(ldos_rscan[breakpoint:end,1,ii],ldos_rscan[breakpoint:end,2,ii])\n",
    "    ldos_x = ldos_x_rad+ldos_x_guide;\n",
    "    ldos_y_rad = integrate(ldos_rscan[1:breakpoint,1,ii],ldos_rscan[1:breakpoint,3,ii])\n",
    "    ldos_y_guide = integrate(ldos_rscan[breakpoint:end,1,ii],ldos_rscan[breakpoint:end,3,ii])\n",
    "    ldos_y = ldos_y_rad+ldos_y_guide;\n",
    "    ldos_z_rad = integrate(ldos_rscan[1:breakpoint,1,ii],ldos_rscan[1:breakpoint,4,ii])\n",
    "    ldos_z_guide = integrate(ldos_rscan[breakpoint:end,1,ii],ldos_rscan[breakpoint:end,4,ii])\n",
    "    ldos_z = ldos_z_rad+ldos_z_guide;\n",
    "    ldos_rad = integrate(ldos_rscan[1:breakpoint,1,ii],ldos_rscan[1:breakpoint,5,ii])\n",
    "    ldos_guide = integrate(ldos_rscan[breakpoint:end,1,ii],ldos_rscan[breakpoint:end,5,ii])\n",
    "    ldos_total = ldos_rad + ldos_guide;\n",
    "    \n",
    "    ldos_int[ii,1]=ldos_x_rad;\n",
    "    ldos_int[ii,2]=ldos_x_guide;\n",
    "    ldos_int[ii,3]=ldos_x;\n",
    "    ldos_int[ii,4]=ldos_y_rad;\n",
    "    ldos_int[ii,5]=ldos_y_guide;\n",
    "    ldos_int[ii,6]=ldos_y;\n",
    "    ldos_int[ii,7]=ldos_z_rad;\n",
    "    ldos_int[ii,8]=ldos_z_guide;\n",
    "    ldos_int[ii,9]=ldos_z;\n",
    "    ldos_int[ii,10]=ldos_rad;\n",
    "    ldos_int[ii,11]=ldos_guide;\n",
    "    ldos_int[ii,12]=ldos_total;\n",
    "    ii+=1;\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x7f531d9d9290>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "PyObject <matplotlib.legend.Legend object at 0x7f531d4f14d0>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Plot the LDOS's.\n",
    "using PyPlot\n",
    "fig = figure(\"LDOS(r') plot\",figsize=(10,5))\n",
    "ax = fig[:add_subplot](1,2,1)\n",
    "cp = ax[:plot](rprime, ldos_int[:,3], \"b:\", linewidth=2.0)\n",
    "cp = ax[:plot](rprime, ldos_int[:,6], \"r:\", linewidth=2.0)\n",
    "cp = ax[:plot](rprime, ldos_int[:,9], \"m:\", linewidth=2.0)\n",
    "cp = ax[:plot](rprime, ldos_int[:,12], \"k-\", linewidth=2.0)\n",
    "\n",
    "xlabel(L\"r\\prime(nm)\")\n",
    "ylabel(L\"LDOS\")\n",
    "ylim(-0.0,2.2)\n",
    "xlim(205,420)\n",
    "legend([\"LDOS_x\",\"LDOS_y\",\"LDOS_z\",\"LDOS_total\"],loc=\"right\")\n",
    "\n",
    "ax = fig[:add_subplot](1,2,2)\n",
    "cp = ax[:plot](rprime, ldos_int[:,10], \"b:\", linewidth=2.0)\n",
    "cp = ax[:plot](rprime, ldos_int[:,11], \"r:\", linewidth=2.0)\n",
    "cp = ax[:plot](rprime, ldos_int[:,12], \"k-\", linewidth=2.0)\n",
    "\n",
    "xlabel(L\"r\\prime(nm)\")\n",
    "ylabel(L\"LDOS\")\n",
    "ylim(-0.0,2.2)\n",
    "xlim(205,420)\n",
    "legend([\"LDOS_rad\",\"LDOS_guide\",\"LDOS_total\"],loc=\"right\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The guide mode contribution seems very small compared to the nanofiber case using the BEM approach. As discussed in other tests, the BEM calculation on the guided mode contribution part is not accurate due to the fact that the dielectric function has a zero imaginary part or loss in the frequency domain which will cause an infinite narrow peak of the LDOS function and leads to unphysical solution. \n",
    "To avoid this difficulty, we will use other method to calculate the guided mode contribution part to the Green's function tensor."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Calculation of Green's function tensor using BEM\n",
    "\n",
    "BEM can output full local field components so that computing the radiative mode contribution to the full Green's function tensor is possible. With the Green's function tensor, one can then calculate the modified decay rates with dipoles orientated along arbitrary directions--including the dipole transitions corresponding to $\\sigma_\\pm$ and $\\pi$ transitions."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x7f531d92b650>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Load data for different dipole positions.\n",
    "rp_BEM=160:10:600;#[170,190,210,230,250,270,290,310,330,350,370,390,410,430,450,470];\n",
    "lenrp=length(rp_BEM);\n",
    "lendr=201;\n",
    "E_dipolex = readdlm(\"data/dipolex_E_N_1_lam_894_eps_4_0_a_300_b_300_c_6_x_330_y_0_q_0_2_201.dat\", header=false);\n",
    "k_vec=E_dipolex[:,2];\n",
    "Ex_dx=zeros(Complex{Float64},lendr,lenrp); Ey_dx=zeros(Complex{Float64},lendr,lenrp); Ez_dx=zeros(Complex{Float64},lendr,lenrp);\n",
    "Ex_dy=zeros(Complex{Float64},lendr,lenrp); Ey_dy=zeros(Complex{Float64},lendr,lenrp); Ez_dy=zeros(Complex{Float64},lendr,lenrp);\n",
    "Ex_dz=zeros(Complex{Float64},lendr,lenrp); Ey_dz=zeros(Complex{Float64},lendr,lenrp); Ez_dz=zeros(Complex{Float64},lendr,lenrp);\n",
    "for ii=2:2:(lenrp-1)\n",
    "    E_dipolex = readdlm(\"data/dipolex_E_N_1_lam_894_eps_4_0.01_a_300_b_300_c_6_x_$(rp_BEM[ii])_y_0_q_0_2_201.dat\", header=false); #\",rp_list[ii],\"\n",
    "    Ex_dx[:,ii]=E_dipolex[:,5]+im*E_dipolex[:,6];\n",
    "    Ey_dx[:,ii]=E_dipolex[:,7]+im*E_dipolex[:,8];\n",
    "    Ez_dx[:,ii]=E_dipolex[:,9]+im*E_dipolex[:,10];\n",
    "    \n",
    "    E_dipoley = readdlm(\"data/dipoley_E_N_1_lam_894_eps_4_0.01_a_300_b_300_c_6_x_$(rp_BEM[ii])_y_0_q_0_2_201.dat\", header=false); #\",rp_list[ii],\"\n",
    "    Ex_dy[:,ii]=E_dipoley[:,5]+im*E_dipoley[:,6];\n",
    "    Ey_dy[:,ii]=E_dipoley[:,7]+im*E_dipoley[:,8];\n",
    "    Ez_dy[:,ii]=E_dipoley[:,9]+im*E_dipoley[:,10];\n",
    "    \n",
    "    E_dipolez = readdlm(\"data/dipolez_E_N_1_lam_894_eps_4_0.01_a_300_b_300_c_6_x_$(rp_BEM[ii])_y_0_q_0_2_201.dat\", header=false); #\",rp_list[ii],\"\n",
    "    Ex_dz[:,ii]=E_dipolez[:,5]+im*E_dipolez[:,6];\n",
    "    Ey_dz[:,ii]=E_dipolez[:,7]+im*E_dipolez[:,8];\n",
    "    Ez_dz[:,ii]=E_dipolez[:,9]+im*E_dipolez[:,10];\n",
    "end\n",
    "for ii=1:2:lenrp\n",
    "    E_dipolex = readdlm(\"data/dipolex_E_N_1_lam_894_eps_4_0_a_300_b_300_c_6_x_$(rp_BEM[ii])_y_0_q_0_2_201.dat\", header=false); #\",rp_list[ii],\"\n",
    "    Ex_dx[:,ii]=E_dipolex[:,5]+im*E_dipolex[:,6];\n",
    "    Ey_dx[:,ii]=E_dipolex[:,7]+im*E_dipolex[:,8];\n",
    "    Ez_dx[:,ii]=E_dipolex[:,9]+im*E_dipolex[:,10];\n",
    "    \n",
    "    E_dipoley = readdlm(\"data/dipoley_E_N_1_lam_894_eps_4_0_a_300_b_300_c_6_x_$(rp_BEM[ii])_y_0_q_0_2_201.dat\", header=false); #\",rp_list[ii],\"\n",
    "    Ex_dy[:,ii]=E_dipoley[:,5]+im*E_dipoley[:,6];\n",
    "    Ey_dy[:,ii]=E_dipoley[:,7]+im*E_dipoley[:,8];\n",
    "    Ez_dy[:,ii]=E_dipoley[:,9]+im*E_dipoley[:,10];\n",
    "    \n",
    "    E_dipolez = readdlm(\"data/dipolez_E_N_1_lam_894_eps_4_0_a_300_b_300_c_6_x_$(rp_BEM[ii])_y_0_q_0_2_201.dat\", header=false); #\",rp_list[ii],\"\n",
    "    Ex_dz[:,ii]=E_dipolez[:,5]+im*E_dipolez[:,6];\n",
    "    Ey_dz[:,ii]=E_dipolez[:,7]+im*E_dipolez[:,8];\n",
    "    Ez_dz[:,ii]=E_dipolez[:,9]+im*E_dipolez[:,10];\n",
    "end\n",
    "# Calculate the diagonal elements of the Green's function tensor from the radiation mode contribution.\n",
    "c=2.99792458e8;\n",
    "au=1.72e7; # This is the atomic unit in the CGS-units: $q/a_0^2$ statvolts/cm. In SI units, it becomes $e/(4π\\varepsilon_0a_0^2)$ = 5.2e11 V/m.\n",
    "lambda0=0.895e-6;\n",
    "ω=2.*pi*c/lambda0;\n",
    "GFT_rad_ind=zeros(Complex{Float64},3,3,lenrp);\n",
    "Gxx_rad_ind=zeros(Complex{Float64},lenrp);\n",
    "Gxy_rad_ind=zeros(Complex{Float64},lenrp);\n",
    "Gxz_rad_ind=zeros(Complex{Float64},lenrp);\n",
    "Gyx_rad_ind=zeros(Complex{Float64},lenrp);\n",
    "Gyy_rad_ind=zeros(Complex{Float64},lenrp);\n",
    "Gyz_rad_ind=zeros(Complex{Float64},lenrp);\n",
    "Gzx_rad_ind=zeros(Complex{Float64},lenrp);\n",
    "Gzy_rad_ind=zeros(Complex{Float64},lenrp);\n",
    "Gzz_rad_ind=zeros(Complex{Float64},lenrp);\n",
    "G0=Inf + 2.0/3.*(ω/c)^3*im;\n",
    "gamma_rad_BEM_rp_average=zeros(lenrp);\n",
    "gamma_rad_BEM_rp_sigmap=zeros(lenrp);\n",
    "gamma_rad_BEM_rp_sigmam=zeros(lenrp);\n",
    "gamma_rad_BEM_rp_pi=zeros(lenrp);\n",
    "# Define the unitary dipole orientation vector.\n",
    "e_dipole_sigmap=[-1.;-1.0*im;0]/sqrt(2);\n",
    "e_dipole_sigmam=[1.; -1.0*im;0]/sqrt(2);\n",
    "e_dipole_pi=[0.; 0.; 1.];\n",
    "using NumericalIntegration\n",
    "for ii=1:lenrp\n",
    "    Gxx_rad_ind[ii]=integrate(k_vec[1:breakpoint],Ex_dx[1:breakpoint,ii],Trapezoidal())*(ω/c)^3/pi^2*au*4.0/3.;#G0+\n",
    "    Gyy_rad_ind[ii]=integrate(k_vec[1:breakpoint],Ey_dy[1:breakpoint,ii],Trapezoidal())*(ω/c)^3/pi^2*au*4.0/3.;#G0+\n",
    "    Gzz_rad_ind[ii]=integrate(k_vec[1:breakpoint],Ez_dz[1:breakpoint,ii],Trapezoidal())*(ω/c)^3/pi^2*au*4.0/3.;#G0+\n",
    "    Gyx_rad_ind[ii]=integrate(k_vec[1:breakpoint],Ey_dx[1:breakpoint,ii],Trapezoidal())*(ω/c)^3/pi^2*au*4.0/3.;\n",
    "    Gzx_rad_ind[ii]=integrate(k_vec[1:breakpoint],Ez_dx[1:breakpoint,ii],Trapezoidal())*(ω/c)^3/pi^2*au*4.0/3.;\n",
    "    Gxy_rad_ind[ii]=integrate(k_vec[1:breakpoint],Ex_dy[1:breakpoint,ii],Trapezoidal())*(ω/c)^3/pi^2*au*4.0/3.;\n",
    "    Gzy_rad_ind[ii]=integrate(k_vec[1:breakpoint],Ez_dy[1:breakpoint,ii],Trapezoidal())*(ω/c)^3/pi^2*au*4.0/3.;\n",
    "    Gxz_rad_ind[ii]=integrate(k_vec[1:breakpoint],Ex_dz[1:breakpoint,ii],Trapezoidal())*(ω/c)^3/pi^2*au*4.0/3.;\n",
    "    Gyz_rad_ind[ii]=integrate(k_vec[1:breakpoint],Ey_dz[1:breakpoint,ii],Trapezoidal())*(ω/c)^3/pi^2*au*4.0/3.;\n",
    "    GFT_rad_ind[:,:,ii]=[Gxx_rad_ind[ii] Gxy_rad_ind[ii] Gxz_rad_ind[ii];\n",
    "        Gyx_rad_ind[ii] Gyy_rad_ind[ii] Gzy_rad_ind[ii];\n",
    "        Gzx_rad_ind[ii] Gzy_rad_ind[ii] Gzz_rad_ind[ii]];\n",
    "end\n",
    "\n",
    "# Calculate the relative averaged decay rate at the given dipole located at x=405nm and y=0.\n",
    "gamma0=imag(G0);\n",
    "for ii =1:lenrp\n",
    "    gamma_rad_BEM_rp_average[ii]=1+trace(imag(GFT_rad_ind[:,:,ii]))/gamma0/3.;\n",
    "    gamma_rad_BEM_rp_sigmap[ii]=1+real((e_dipole_sigmap'*imag(GFT_rad_ind[:,:,ii])*e_dipole_sigmap)/gamma0)[1];\n",
    "    gamma_rad_BEM_rp_sigmam[ii]=1+real((e_dipole_sigmam'*imag(GFT_rad_ind[:,:,ii])*e_dipole_sigmam)/gamma0)[1];\n",
    "    gamma_rad_BEM_rp_pi[ii]=1+real((e_dipole_pi'*imag(GFT_rad_ind[:,:,ii])*e_dipole_pi)/gamma0)[1];\n",
    "end\n",
    "\n",
    "# Recalculate the diagonal GFT elements with a dipole placed at r'=405nm from the fiber axis with lower imaginary part of epsilon.\n",
    "E_dipolex = readdlm(join([\"data/dipolex_E_N_1_lam_894_eps_4_0_a_300_b_300_c_6_x_\",\"330\",\"_y_0_q_0_2_201.dat\"]), header=false)\n",
    "Ex_dx_r0=E_dipolex[:,5]+im*E_dipolex[:,6];\n",
    "Ey_dx_r0=E_dipolex[:,7]+im*E_dipolex[:,8];\n",
    "Ez_dx_r0=E_dipolex[:,9]+im*E_dipolex[:,10];\n",
    "E_dipoley = readdlm(join([\"data/dipoley_E_N_1_lam_894_eps_4_0_a_300_b_300_c_6_x_\",\"330\",\"_y_0_q_0_2_201.dat\"]), header=false)\n",
    "Ex_dy_r0=E_dipoley[:,5]+im*E_dipoley[:,6];\n",
    "Ey_dy_r0=E_dipoley[:,7]+im*E_dipoley[:,8];\n",
    "Ez_dy_r0=E_dipoley[:,9]+im*E_dipoley[:,10];\n",
    "E_dipolez = readdlm(join([\"data/dipolez_E_N_1_lam_894_eps_4_0_a_300_b_300_c_6_x_\",\"330\",\"_y_0_q_0_2_201.dat\"]), header=false)\n",
    "Ex_dz_r0=E_dipolez[:,5]+im*E_dipolez[:,6];\n",
    "Ey_dz_r0=E_dipolez[:,7]+im*E_dipolez[:,8];\n",
    "Ez_dz_r0=E_dipolez[:,9]+im*E_dipolez[:,10];\n",
    "Gxx_rad_r0=integrate(k_vec[1:breakpoint],Ex_dx_r0[1:breakpoint],Trapezoidal())*(ω/c)^3/pi^2*au*4.0/3.;\n",
    "Gyy_rad_r0=integrate(k_vec[1:breakpoint],Ey_dy_r0[1:breakpoint],Trapezoidal())*(ω/c)^3/pi^2*au*4.0/3.;\n",
    "Gzz_rad_r0=integrate(k_vec[1:breakpoint],Ez_dz_r0[1:breakpoint],Trapezoidal())*(ω/c)^3/pi^2*au*4.0/3.;\n",
    "gamma_rad_BEM_r0=imag(Gxx_rad_r0+Gyy_rad_r0+Gzz_rad_r0)/3/gamma0;\n",
    "\n",
    "# Plot out gamma_rad as a function of dipole position.\n",
    "figure(figsize=(16,3));\n",
    "subplot(1,2,1)\n",
    "plot((1:breakpoint)/100.,real(Ex_dx[1:breakpoint,4]),\"r-\")\n",
    "plot((1:breakpoint)/100.,imag(Ex_dx[1:breakpoint,4]),\"b-\")\n",
    "ylabel(L\"E(\\beta)\")\n",
    "xlabel(L\"\\beta/k_0\")\n",
    "legend([\"Real\",\"Imag\"],loc=\"upper left\")\n",
    "\n",
    "subplot(1,2,2)\n",
    "a=300.;\n",
    "#plot(rp0_test[1,:]/1.e-9, 1+sum(gamma_rad,2), \"r-\", linewidth=2.0)\n",
    "plot(rp_BEM-a/2,real(gamma_rad_BEM_rp_average),\"b-\");\n",
    "plot(330-a/2,real(gamma_rad_BEM_r0)+1.,\"mo\");\n",
    "plot(rp_BEM-a/2,gamma_rad_BEM_rp_sigmap,\"r--\");\n",
    "plot(rp_BEM-a/2,gamma_rad_BEM_rp_sigmam,\"m.-\");\n",
    "plot(rp_BEM-a/2,gamma_rad_BEM_rp_pi,\"k.\");\n",
    "xlabel(\"(r'-a/2)/nm\");\n",
    "ylabel(L\"\\Gamma_{rad}^{BEM}/\\Gamma_0\");\n",
    "#ylim([0,1.2])\n",
    "legend([\"average\",L\"average_{no\\,\\,loss}\",L\"\\sigma_+\",L\"\\sigma_-\",L\"\\pi\"],loc=\"upper right\",fontsize=12);\n",
    "#gamma_rad_BEM_rp_sigmap"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "The first figure (on the left) shows the real and imaginary parts of the $E_x$ component changes as a function of $\\beta=k_z$ in the radiative mode regime.\n",
    "\n",
    "The second figure (on the right) shows the decay rates caused by non-guided modes and decomposed into the $\\sigma_\\pm$ and $\\pi$ transitions and their average.\n",
    "In calculating the averaged non-guided mode induced decay rates, we define\n",
    "$$\\begin{align}\n",
    "\\frac{\\Gamma_{rad}^{ave}}{\\Gamma_0} &= 1+ \\frac{\\sum_{i=x,y,z}\\mathrm{Im}\\left[\\mathbf{e}_i^*\\cdot \\mathbf{G}_{ind,rad}(\\mathbf{r}',\\mathbf{r}')\\cdot \\mathbf{e}_i\\right]}{\\sum_{i=x,y,z} \\mathrm{Im}\\left[\\mathbf{e}_i^*\\cdot \\mathbf{G}_0(\\mathbf{r}',\\mathbf{r}')\\cdot \\mathbf{e}_i\\right]}\\\\\n",
    "&=1+ \\frac{\\sum_{i=x,y,z}\\mathrm{Im}\\left[\\mathbf{e}_i^*\\cdot \\mathbf{G}_{ind,rad}(\\mathbf{r}',\\mathbf{r}')\\cdot \\mathbf{e}_i\\right]}{3\\mathrm{Im}\\left[G_0(\\mathbf{r}',\\mathbf{r}')\\right]}\\\\\n",
    "&= 1+ \\frac{\\mathrm{Tr}\\left\\{\\mathrm{Im}\\left[ \\mathbf{G}_{ind,rad}(\\mathbf{r}',\\mathbf{r}')\\right]\\right\\}}{3\\mathrm{Im}\\left[G_0(\\mathbf{r}',\\mathbf{r}')\\right]}\n",
    "\\end{align}$$\n",
    "with the free-space Green's function scaled by $G_0(\\mathbf{r}',\\mathbf{r}';\\omega)=\\frac{2}{3}k_0^3$ in the CGS units as $\\mathbf{G}_0=G_0\\mathbb{1}$ and the numerical result of the waveguide-induced Green's function tensor elements\n",
    "$$ G_{ind,rad}^{ij}(\\mathbf{r}',\\mathbf{r}')=\\frac{2k_0^2*a.u.}{3\\pi^2}\\int_{-k_0}^{k_0} d\\beta E_j^i(\\mathbf{r}')=\\frac{4k_0^2*a.u.}{3\\pi^2}\\int_{0}^{k_0} d\\beta E_j^i(\\mathbf{r}')$$\n",
    "calculated via BEM by putting a unit dipole in atomic units orientated along $j$ direction while the $i$-th electric field component is measured at the dipole position.\n",
    "We have used $\\varepsilon=4+0.01i$ (with a small loss) and $\\varepsilon=4$ (without loss) to calculate the Green's function tensors as well as the averaged corresponding decay rate contributions.\n",
    "These two cases doesn't show a noticeable difference with one sampling data point as shown in the purple dot points. \n",
    "\n",
    "In calculating the corresponding contributions from the $\\sigma_\\pm$ and $\\pi$ transitions of the atoms, we have defined\n",
    "$$\\begin{align}\n",
    "\\frac{\\Gamma_{rad}^{\\mathbf{e}_q}}{\\Gamma_0} &= 1+ \\frac{\\mathrm{Im}\\left[\\mathbf{e}_q^*\\cdot \\mathbf{G}_{ind,rad}(\\mathbf{r}',\\mathbf{r}')\\cdot \\mathbf{e}_q\\right]}{ \\mathrm{Im}\\left[\\mathbf{e}_q^*\\cdot \\mathbf{G}_0(\\mathbf{r}',\\mathbf{r}')\\cdot \\mathbf{e}_q\\right]}\n",
    "=1+ \\frac{\\mathrm{Im}\\left[\\mathbf{e}_q^*\\cdot \\mathbf{G}_{ind,rad}(\\mathbf{r}',\\mathbf{r}')\\cdot \\mathbf{e}_q\\right]}{\\mathrm{Im}\\left[G_0(\\mathbf{r}',\\mathbf{r}')\\right]},\n",
    "\\end{align}$$\n",
    "where the three orthogonal dipole transition bases\n",
    "$$\\begin{align}\n",
    "\\mathbf{e}_\\pm &=\\mp \\frac{\\mathbf{e}_{\\tilde{x}}\\pm i\\mathbf{e}_{\\tilde{y}}}{\\sqrt{2}}\\\\\n",
    "\\mathbf{e}_0 &=\\mathbf{e}_{\\tilde{z}}\n",
    "\\end{align}$$\n",
    "correspond to the $\\sigma_\\pm$ and $\\pi$ transitions of the atoms.\n",
    "These basis vectors are quantization-axis dependent, but in our calculation above, we assume the $z$-axis or the waveguide axis is the quantization axis, and hence $\\mathbf{e}_{\\tilde{x}}=\\mathbf{e}_x$, $\\mathbf{e}_{\\tilde{y}}=\\mathbf{e}_y$ and $\\mathbf{e}_{\\tilde{z}}=\\mathbf{e}_z$. \n",
    "\n",
    "As you can see, when the atoms are placed around $200$nm from the nanofiber surface, different dipole transitions make a noticeable difference.\n",
    "\n",
    "To wrap up, the total decay rates\n",
    "$$\\begin{align}\n",
    "\\Gamma \\propto \\mathbf{e}_d^*\\cdot \\mathrm{Im}\\left[\\mathbf{G}(\\mathbf{r}',\\mathbf{r}')\\right]\\cdot \\mathbf{e}_d,\n",
    "\\end{align}$$\n",
    "where $$\\mathbf{G}=\\mathbf{G}_{hom}+\\mathbf{G}_{inhom}=\\mathbf{G}_{rad,free-space}+\\mathbf{G}_{rad,ind}+\\mathbf{G}_{gyd}$$\n",
    "with $\\mathbf{G}_{rad,free-space}=\\mathbf{G}_0$ and $\\mathrm{Im}\\left[ \\mathbf{G}_0(\\mathbf{r}',\\mathbf{r}')\\right]=\\frac{2}{3}\\mathbb{1}$.\n",
    "In the end, the total decay rate\n",
    "$$\\begin{align}\\Gamma = \\Gamma_{rad}+\\Gamma_{gyd}=\\Gamma_{rad,free-space}+\\Gamma_{rad,ind}+\\Gamma_{gyd}\\end{align}$$\n",
    "with $\\Gamma_{rad,free-space}=\\Gamma_0$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# Export data to a MAT file.\n",
    "using MAT\n",
    "matopen(\"data/Julia_swg_GFT_decayrates_rad_D1.mat\", \"w\") do matfile\n",
    "    write(matfile,\"omega0\",ω)\n",
    "    write(matfile,\"rp_BEM\",collect(rp_BEM))\n",
    "    write(matfile,\"gamma0\",gamma0)\n",
    "    write(matfile,\"e_dipole_sigmap\",e_dipole_sigmap)\n",
    "    write(matfile,\"e_dipole_sigmam\",e_dipole_sigmam)\n",
    "    write(matfile,\"e_dipole_pi\",e_dipole_pi)\n",
    "    write(matfile,\"gamma_rad_BEM_rp_average\",gamma_rad_BEM_rp_average)\n",
    "    write(matfile,\"gamma_rad_BEM_rp_sigmap\",gamma_rad_BEM_rp_sigmap)\n",
    "    write(matfile,\"gamma_rad_BEM_rp_sigmam\",gamma_rad_BEM_rp_sigmam)\n",
    "    write(matfile,\"gamma_rad_BEM_rp_pi\",gamma_rad_BEM_rp_pi)\n",
    "    write(matfile,\"a\",a)\n",
    "    write(matfile,\"GFT_rad_rp\",GFT_rad_ind)\n",
    "    write(matfile,\"Gxx_rad_rp\",Gxx_rad_ind)\n",
    "    write(matfile,\"Gxy_rad_rp\",Gxy_rad_ind)\n",
    "    write(matfile,\"Gxz_rad_rp\",Gxz_rad_ind)\n",
    "    write(matfile,\"Gyx_rad_rp\",Gyx_rad_ind)\n",
    "    write(matfile,\"Gyy_rad_rp\",Gyy_rad_ind)\n",
    "    write(matfile,\"Gyz_rad_rp\",Gyz_rad_ind)\n",
    "    write(matfile,\"Gzx_rad_rp\",Gzx_rad_ind)\n",
    "    write(matfile,\"Gzy_rad_rp\",Gzy_rad_ind)\n",
    "    write(matfile,\"Gzz_rad_rp\",Gzz_rad_ind)\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
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